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5234231400444 = 22321791112017817
BaseRepresentation
bin100110000101011000010…
…0000001101011111111100
3200112101110120211010110200
41030022300200031133330
51141224201214303234
615044323412203500
71050106063546344
oct114126040153774
920471416733420
105234231400444
111738909195552
12706519609590
132bc7802c9777
141414a3c5dd24
159124b002d99
hex4c2b080d7fc

5234231400444 has 144 divisors (see below), whose sum is σ = 14038117382016. Its totient is φ = 1638733824000.

The previous prime is 5234231400353. The next prime is 5234231400457. The reversal of 5234231400444 is 4440041324325.

5234231400444 is a `hidden beast` number, since 52 + 3 + 4 + 23 + 140 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5234231400399 and 5234231400408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669592024 + ... + 669599840.

It is an arithmetic number, because the mean of its divisors is an integer number (97486926264).

Almost surely, 25234231400444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5234231400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019058691008).

5234231400444 is an abundant number, since it is smaller than the sum of its proper divisors (8803885981572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5234231400444 is a wasteful number, since it uses less digits than its factorization.

5234231400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 5234231400444 its reverse (4440041324325), we get a palindrome (9674272724769).

The spelling of 5234231400444 in words is "five trillion, two hundred thirty-four billion, two hundred thirty-one million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 911 1201 1822 2402 2733 3603 3644 4804 5466 7206 7817 8199 10809 10932 14412 15487 15634 16398 20417 21618 23451 30974 31268 32796 40834 43236 46461 46902 61251 61948 70353 81668 92922 93804 122502 132889 139383 140706 183753 185844 245004 265778 278766 281412 367506 398667 531556 557532 735012 797334 1094111 1196001 1594668 2188222 2392002 3282333 4376444 4784004 6564666 7121287 9388217 9846999 13129332 14242574 18599887 18776434 19693998 21363861 28164651 28485148 37199774 37552868 39387996 42727722 55799661 56329302 64091583 74399548 84493953 85455444 111599322 112658604 121061879 128183166 159599689 167398983 168987906 223198644 242123758 256366332 319199378 334797966 337975812 363185637 478799067 484247516 638398756 669595932 726371274 957598134 1089556911 1436397201 1452742548 1915196268 2179113822 2872794402 4358227644 5745588804 8552665687 17105331374 25657997061 34210662748 51315994122 76973991183 102631988244 145395316679 153947982366 290790633358 307895964732 436185950037 581581266716 872371900074 1308557850111 1744743800148 2617115700222 5234231400444